Computer Science > Computational Geometry

Title:
Reverse nearest neighbor queries in fixed dimension

Abstract: Reverse nearest neighbor queries are defined as follows: Given an input
point-set P, and a query point q, find all the points p in P whose nearest
point in P U {q} \ {p} is q. We give a data structure to answer reverse nearest
neighbor queries in fixed-dimensional Euclidean space. Our data structure uses
O(n) space, its preprocessing time is O(n log n), and its query time is O(log
n).